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On this page are computer-accessible forms for the graph C4[ 65, 1 ] = C_65(1,8).

(I) Following is a form readable by MAGMA:

g:=Graph<65|{ {2, 3}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {1, 2}, {61, 62}, {57, 58}, {53, 54}, {29, 30}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {3, 4}, {59, 60}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {51, 52}, {1, 9}, {55, 63}, {54, 62}, {53, 61}, {52, 60}, {23, 31}, {22, 30}, {21, 29}, {20, 28}, {19, 27}, {18, 26}, {2, 10}, {3, 11}, {4, 12}, {5, 13}, {6, 14}, {7, 15}, {16, 24}, {17, 25}, {32, 40}, {33, 41}, {34, 42}, {35, 43}, {36, 44}, {37, 45}, {38, 46}, {39, 47}, {48, 56}, {49, 57}, {50, 58}, {51, 59}, {7, 8}, {55, 56}, {23, 24}, {39, 40}, {8, 16}, {9, 17}, {10, 18}, {11, 19}, {12, 20}, {13, 21}, {14, 22}, {15, 23}, {40, 48}, {41, 49}, {42, 50}, {43, 51}, {44, 52}, {45, 53}, {46, 54}, {47, 55}, {15, 16}, {47, 48}, {24, 32}, {30, 38}, {29, 37}, {28, 36}, {27, 35}, {26, 34}, {25, 33}, {31, 39}, {2, 59}, {4, 61}, {6, 63}, {1, 58}, {5, 62}, {3, 60}, {31, 32}, {1, 65}, {7, 64}, {8, 65}, {56, 64}, {57, 65}, {63, 64} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65)
b: (2, 9, 65, 58)(3, 17, 64, 50)(4, 25, 63, 42)(5, 33, 62, 34)(6, 41, 61, 26)(7, 49, 60, 18)(8, 57, 59, 10)(11, 16, 56, 51)(12, 24, 55, 43)(13, 32, 54, 35)(14, 40, 53, 27)(15, 48, 52, 19)(20, 23, 47, 44)(21, 31, 46, 36)(22, 39, 45, 28)(29, 30, 38, 37)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 65, 1 ]
65
-1 2 58 9 65
-2 1 3 59 10
-3 11 2 4 60
-4 12 3 5 61
-5 13 4 6 62
-6 14 5 7 63
-7 15 6 8 64
-8 16 7 9 65
-9 1 17 8 10
-10 11 2 18 9
-11 12 3 19 10
-12 11 13 4 20
-13 12 14 5 21
-14 22 13 15 6
-15 23 14 16 7
-16 24 15 17 8
-17 25 16 18 9
-18 26 17 19 10
-19 11 27 18 20
-20 12 28 19 21
-21 22 13 29 20
-22 23 14 30 21
-23 22 24 15 31
-24 23 25 16 32
-25 33 24 26 17
-26 34 25 27 18
-27 35 26 28 19
-28 36 27 29 20
-29 37 28 30 21
-30 22 38 29 31
-31 23 39 30 32
-32 33 24 40 31
-33 34 25 41 32
-34 33 35 26 42
-35 34 36 27 43
-36 44 35 37 28
-37 45 36 38 29
-38 46 37 39 30
-39 47 38 40 31
-40 48 39 41 32
-41 33 49 40 42
-42 34 50 41 43
-43 44 35 51 42
-44 45 36 52 43
-45 44 46 37 53
-46 45 47 38 54
-47 55 46 48 39
-48 56 47 49 40
-49 57 48 50 41
-50 58 49 51 42
-51 59 50 52 43
-52 44 60 51 53
-53 45 61 52 54
-54 55 46 62 53
-55 56 47 63 54
-56 55 57 48 64
-57 56 58 49 65
-58 1 57 59 50
-59 2 58 60 51
-60 3 59 61 52
-61 4 60 62 53
-62 5 61 63 54
-63 55 6 62 64
-64 56 7 63 65
-65 1 57 8 64
0

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